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13310331213310 = 25293118143118979
BaseRepresentation
bin1100000110110000110110…
…0100000101010111111110
31202010110021212102120101121
43001230031210011113332
53221034024242311220
644150403131301154
72542432262366335
oct301541544052776
952113255376347
1013310331213310
114271974a7450a
1215ab76abaa7ba
1375720acb05a1
1434031b2a6d1c
15181373d2aeaa
hexc1b0d9055fe

13310331213310 has 128 divisors (see below), whose sum is σ = 25786659225600. Its totient is φ = 4935494592000.

The previous prime is 13310331213299. The next prime is 13310331213313. The reversal of 13310331213310 is 1331213301331.

13310331213310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133103312133102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310331213313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701309401 + ... + 701328379.

It is an arithmetic number, because the mean of its divisors is an integer number (201458275200).

Almost surely, 213310331213310 is an apocalyptic number.

13310331213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310331213310 is a deficient number, since it is larger than the sum of its proper divisors (12476328012290).

13310331213310 is a wasteful number, since it uses less digits than its factorization.

13310331213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19658.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13310331213310 its reverse (1331213301331), we get a palindrome (14641544514641).

The spelling of 13310331213310 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 29 31 58 62 145 155 181 290 310 362 431 862 899 905 1798 1810 2155 4310 4495 5249 5611 8990 10498 11222 12499 13361 18979 24998 26245 26722 28055 37958 52490 56110 62495 66805 78011 94895 124990 133610 156022 162719 189790 325438 387469 390055 550391 588349 774938 780110 813595 1100782 1176698 1627190 1937345 2262319 2418341 2751955 2941745 3435199 3874690 4524638 4836682 5503910 5883490 6870398 8179949 11311595 12091705 16359898 17062121 17175995 22623190 24183410 34124242 34351990 40899745 70131889 81799490 85310605 99620771 106491169 140263778 170621210 199241542 212982338 237218521 253578419 350659445 474437042 498103855 507156838 532455845 701318890 996207710 1064911690 1186092605 1267892095 1480570769 2372185210 2535784190 2961141538 3088243901 6176487802 7353774151 7402853845 14707548302 14805707690 15441219505 30882439010 36768870755 42936552301 45897693839 73537741510 85873104602 91795387678 214682761505 229488469195 429365523010 458976938390 1331033121331 2662066242662 6655165606655 13310331213310